Módszerek összehasonlítása

	Bayesian lineáris regresszió	Markov-lánc Monte Carlo (MCMC)
Tudományterület	Bayes-statisztika	Bayes-statisztika
Módszercsalád	Bayesian methods	Bayesian methods
Keletkezés éve	2013 (modern reference); foundations 18th–19th century	—
Megalkotó	Thomas Bayes / Pierre-Simon Laplace (foundations); modern workflow codified by Gelman et al.	—
Típus	Bayesian linear model	Posterior sampling algorithm
Alapmű	Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955	Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
Alternatív nevek	bayesian linear model, probabilistic linear regression, Bayesçi Doğrusal Regresyon	markov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
Kapcsolódó	4	3
Összefoglaló	Bayesian linear regression is a probabilistic extension of the ordinary linear model, introduced through Bayes' rule and formalised in its modern computational workflow by Gelman et al. (2013). Rather than returning a single point estimate for each coefficient, it combines a user-specified prior distribution with the likelihood of the observed data to produce a full posterior distribution over all parameters, from which credible intervals and posterior predictive distributions are derived.	Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.